a Find the Fourier transform of the signal x(7) = 2 cos(m)[(1+3)-(1-3)], using the Fourier integral.

Q: Given the following set of linear equations: X₁ +x2 +5x3 = -21.5 -3x₁ + 6x2 +2x3 = -61.5 10x1 +2x2…

A: Given that x1+x2+5x3=-21.5-3x1+6x2+2x3=-61.510x1+2x2-x3=27

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A: As per the question we are given the plot of a vector field G and two points A, B  And we have to…

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A: MCQ on functions

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A: To determine all critical points of the system of equations dxdt=8+xy-x,      dydt=2-xy+x   Also to…

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A: Given :              dy1dtdy2dt=8-224y1y2+13e6t To Find :(a)  Express the general solution Yc of the…

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A: Ratio test is used

Q: B. For the system of linear equations below, solve for the values of w,x,y,z 6w-2x-z=5 6x - 5z = 1…

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Q: 5. Find (a) a basis for the row space, (b) a basis for the column space, (c) the nullspace, and (d)…

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Q: Question 1 two variables. Given the function of f(x, y) = -9x² - 2xy - 8y² - 3 a) Find all critical…

A: 1. Given function is fx, y=-9x2-2xy-8y2-3   (a) To Find: All critical points of the function.   (b)…

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Q: a) dx dt dy dt =x+√3y+et √3x-y+e³t = ||

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Q: Question 1. Solve the initial-value problem: (4xy - y - 3y² sin x) dx + (-2x + 4x² +9y cos x)dy = 0,…

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Q: 120 5+sin 0 5. (a) Find the constants a,b,c for the conic r=- Sketch the conic.

A: Introduction: Apart from Cartesian form, a conic can also be represented in polar form. The most…

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A: Hints:  The given equation is h(x,y)=5000-0.001x2-0.004y2 and the given point is (500,500,3750). To…

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Q: 26. Show that the function has removable discontinuity at the origin (sin 2x 2x f(x) = if x = 0 if x…

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Q: B7. Refer to the shaded object in Figure QB7, y = -2x² +2 Part B: Determine: 1 y a) the area for…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

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A: We need to determine the equation of the plane that contains the line: x=-1+3t, y=5+3t, z=2+t and is…

Q: Find a vector-valued function whose graph is the indicated surface. The cylinder 4x² + y² = 16 r(u,…

A: Given: The cylinder, 4x2+y2=16 To find: A vector-valued function whose graph is the given surface.

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Q: does planar graph of order 4 has an example? How about nonplanar graph of order 4? Can you give…

A: Hints: Give an example of planar graph and also nonplanar graph of order 4.

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Q: Use variation of parameters to find the general solution of the differential x²y" - 5xy + 5y = 4x6…

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Q: Initial state and transition matrices are given below. Find the state matrices for the next two…

A: It is provided that: The initial state matrix: M0=0.250.500.25. The transition matrix: T=0.10.80.1…

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A: We find required area.

Q: Find the volume of the solid region in the first octant inside the cylinder x²+y2=4 and between the…

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Q: What is the characteristic equation of the matrix  (10     -5)  (3      -2)

A: Given matrix is 10-53-2

Q: 4. A = [1 1 0 11 0 21 2 2101 2 0 1 4 Evaluate the following; a. [(BC)D] +3E -2 4 3 B = 1 65 3 1 0 C=…

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Q: Consider the following matrix A 2 -5 4 -1 2.6 2 5 -3 9 Select possible error magnification factors…

A: Given the matrix A=2-54-12.625-39

Q: For the system of linear equations below, solve for the values of w,x,y,z 6w-2x-z=5 6x - 5z = 1…

A:

Q: Given a second order linear differential equation as follows, 4y"-27 y'-7y=cosh (7x) - 2e

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Q: dx dt Determine all critical points of the system of equations- O (17+ (-1)+1, лn), where ne Z O (17…

A: Given system of equations are dxdt=17+xsiny and dydt=17−x−cosy. We have to find the critical points…

Q: Given the following set of linear equations: X₁1 +x2 +5x3 = -21.5 -3x₁ + 6x2 +2x3 = -61.5 10x1 +2x2…

A: Given system of linear equation is x1+x2+5x3=-21.5-3x1+6x2+2x3=-61.510x1+2x2-x3=27 Its matrix form…